PQRS is a ‖parallelogram . M is a point on PS such that PM = 7 PS and N is apoint on QR such that RN = 7 QR. Prove that the quadrilateral PNRM is a ‖gm.

Question

PQRS is a ‖parallelogram . M is a point on PS such that PM = 7 PS and N is apoint on QR such that RN = 7 QR. Prove that the quadrilateral PNRM is a ‖gm.
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Solution 1

To prove that the quadrilateral PNRM is a parallelogram, we need to show that its opposite sides are parallel.

  1. Given that PQRS is a parallelogram, we know that its opposite sides are parallel. Therefore, PQ || SR and PS || QR.

  2. Let's consider the line segment PM. We are given that PM = 7PS. T Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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